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Finding the Third Proportional to 669,604 and 1,045,014

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Solution

The third proportional to 669,604 and 1,045,014 is: 1,630,895.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,604 : 1,045,014 = 1,045,014 : x
  2. Step 2: Convert to fraction form
    669,604/1,045,014 = 1,045,014/x
  3. Step 3: Cross multiply
    669,604x = 1,045,014 × 1,045,014
  4. Step 4: Simplify right side
    669,604x = 1,092,054,260,196
  5. Step 5: Solve for x
    x = 1,092,054,260,196/669,604
  6. Step 6: Final answer
    x = 1,630,895.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.